Mathematical Modelling and Applications

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Mathematical Modelling and Simulation of the Factors Associated with Targeted Cells, Virus-Producing Cells, and Infected Cells

Mathematical modeling and simulation of the effective parameters in targeted, virus-producing, and infected cells were carried out. The research involved mathematical models that represent the targeted cell population, the virus-producing cell population, and the infected cell population, respectively. The numerical simulation was carried out using Wolfram Mathematica, version 12, where the pertinent parameters in the various models were varied within a specified range to study their effect on the dynamic system. The simulated results revealed that the production of the target infected cells, the elimination rate of infected cells, the elimination rate of virus cells, the elimination rate of tissue cells, the infected cell rate constant, and the constant rate of infection affect the various cell populations. The novelty of this research is the fact that the interaction between macrophage and other cells was modeled and direct numerical simulation was carried out to ascertain the effect of pertinent parameters on the system using Wolfram Mathematica. The results revealed that the production rate of tissue and infected cells affects the targeted tissue cells growth, the elimination rate affects the rate of infected cells, and the infected cell rate constant also affects the dynamic system. In addition, the virus’s increase per infected cell affects the system, and finally, the elimination rate of tissue cell affects the system.

Modeling, Simulation, Cells, Virus, Infected Cells, Effective Parameters

Kubugha Wilcox Bunonyo, Liberty Ebiwareme. (2023). Mathematical Modelling and Simulation of the Factors Associated with Targeted Cells, Virus-Producing Cells, and Infected Cells. Mathematical Modelling and Applications, 8(1), 13-19.

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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